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标准算子代数上完全保可逆性或零因子的映射
  • 期刊名称：山西大学学报(自然科学版)
  • 时间：0
  • 页码：5-8
  • 语言：中文
  • 分类：O177.1[理学—数学;理学—基础数学]
  • 作者机构：[1]山西大学数学科学学院,山西太原030006, [2]太原科技大学应用科学学院,山西太原030024, [3]太原理工大学数学系,山西太原030024
  • 相关基金：国家自然科学基金（10771157）;山西省自然科学基金（2007011016）
  • 相关项目：算子空间上映射的不变量及延拓问题研究
作者： 黄丽|侯晋川|
关键词： 泛函分析, 标准算子代数, 可逆性, 零因子, 同构, functional analysis , standard operator algebra, invertibility, zero divisors , isomorphisms
中文摘要：

文章刻画了作用在复Banach空间上的标准算子代数上完全保持（左、右）可逆性、（左、右）零因子、（左、右）拓扑零因子之一的映射，给出标准算子代数上代数同构的一些新特征．

英文摘要：

Maps on standard operator algebras on complex infinite dimensional Banach spaces completely preserving any one of（left, right） invertibility, （left, right） zero divisors and （left, right） topological divisors of zero are characterized. Some new characterizations of isomorphisims on standard operator algebras are obtained.

同期刊论文项目
算子空间上映射的不变量及延拓问题研究
期刊论文 54 会议论文 8
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